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What is the class in $\pi_4(S^3) \simeq \mathbb{Z}_2$ of the map

$\array{
S^{\mathbb{H}}
&\longrightarrow&
S^{\left(\mathbb{H}_{im}\right)}
\\
q &\mapsto& q v \bar q
}$

where $v \in \mathbb{H}_{im} \setminus \{0\}$ is any non-zero imaginary quaternion?

An XY-Matrix diagram:

```
\begin{tikzpicture}
\draw (0,0) -- (2,0) -- (2,-2);
\end{tikzpicture}
```

Last revised on February 16, 2019 at 10:19:40. See the history of this page for a list of all contributions to it.